GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Oct 2019, 17:40

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In the figure above, ED has a length of 4. What is the length of side

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1256
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
In the figure above, ED has a length of 4. What is the length of side  [#permalink]

Show Tags

New post 03 Nov 2018, 10:02
5
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

42% (01:53) correct 58% (02:20) wrong based on 57 sessions

HideShow timer Statistics

Attachment:
2.jpg
2.jpg [ 8.05 KiB | Viewed 601 times ]

In the figure above, ED has a length of 4. What is the length of side AC?
1) The perimeter of triangle EBD is 20.
2) Side AE = 8.

Weekly Quant Quiz #7 Question No 2


_________________
Manager
Manager
avatar
S
Joined: 16 Sep 2011
Posts: 90
GMAT ToolKit User Reviews Badge
Re: In the figure above, ED has a length of 4. What is the length of side  [#permalink]

Show Tags

New post 03 Nov 2018, 10:12
In the figure above, ED has a length of 4. What is the length of side AC?
1) The perimeter of triangle EBD is 20.
2) Side AE = 8.

Perimeter of triangle EBD = ED + BE+BD = ED+2BE or ED+2*BD as angle BED and angle BDE are same
so BE = 8= BD\

angle BCA and angle BCA are equal hence AB = BC

But this is insufficient as if we draw a perpendicular from B on AC we need to know what AE is since AE + EP (lets say P is the point of perpendicular on AC) = PD+CD as perpendicular is the bisector in a isosceles triangle. (where 2 angles are equal)

So this is insufficient

2) AE= 8 is sufficient itself as we know EP which is half the ED since perpendicular is the bisector in isoscleles triangle

which is nothing but 2*(8+4/2)= 20

Hence B is sufficient
Current Student
avatar
S
Joined: 04 Jun 2018
Posts: 156
GMAT 1: 610 Q48 V25
GMAT 2: 690 Q50 V32
GMAT 3: 710 Q50 V36
Re: In the figure above, ED has a length of 4. What is the length of side  [#permalink]

Show Tags

New post 03 Nov 2018, 10:15
1
In the figure above, ED has a length of 4. What is the length of side AC?
1) The perimeter of triangle EBD is 20.
2) Side AE = 8.


IN order to solve this question, we need to break down the question.
Angle DEB is the exterior angle to triangle ABC. Hence we can say that angle ABE=x

Hence, similarly Angle DBE is also x.

Traingle property: OPPOsite sides are equal.
We can infer: AE=BE
BD=DC
BD=BE

Hence AE=BE=BD=DC


Statement 1: Sufficent.
Since ED=4, BE=BD=8(20-4/2)
Which gives us a total value of 20 foe AC. (Inferred statements)

Statement 2: Sufficient.
Gives us AE=8
Hence Be=8=BD=Dc

Therefore AE+DE+Dc=20(8+4+8)


ANs D
Intern
Intern
avatar
B
Joined: 09 Apr 2018
Posts: 34
Location: India
Schools: IIMA PGPX"20
GPA: 3.5
Re: In the figure above, ED has a length of 4. What is the length of side  [#permalink]

Show Tags

New post 03 Nov 2018, 10:23
Ans is b) alone 2nd is sufficient as in triangle BED ED=4
and if AE =8 so if we drop a perpendicular from b to ed at let say m then EM = 2
so now In triangle BAC AM=8+2=10
so AC = 10+10=20
Senior Manager
Senior Manager
avatar
P
Joined: 05 Jul 2018
Posts: 416
Location: India
Concentration: General Management, Technology
GMAT 1: 600 Q47 V26
GRE 1: Q162 V149
GPA: 3.6
WE: Information Technology (Consulting)
Reviews Badge CAT Tests
Re: In the figure above, ED has a length of 4. What is the length of side  [#permalink]

Show Tags

New post 03 Nov 2018, 19:47
In the figure above, ED has a length of 4. What is the length of side AC?
1) The perimeter of triangle EBD is 20.
2) Side AE = 8.
_____________

Statement 1

Perimeter of EBD is 20 . Triangle EBD in an isosceles triangle. Hence

\(EB=BD=\frac{(Perimeter -ED)}{2}\)

=\(\frac{(20-4)}{2}\) =8

Also triangle ABE and Triangle BDC are congruent, Hence AE= CD

Also in Triangle AEB , \(Angle ABE =\frac{(180-2x-(180-4x))}{2}=\frac{2x}{2}=x\)
Hence AE=EB=8

Also as AE=CD

Hence, AC= AE+ED+CD= 8+4+8= 20 ( Hence, Statement 1 alone is sufficient)

Statement 2


AE=8

As triangle ABE and Triangle BDC are congruent, Hence AE= CD

Hence AC= AE+ED+CD= 8+4+8= 20 ( Hence, Statement 2 alone is also sufficient)

Hence the answer is D, Each statement alone is sufficient to answer the question


Attachments

gmatclub.jpg
gmatclub.jpg [ 305.37 KiB | Viewed 429 times ]


_________________
Manager
Manager
avatar
G
Joined: 14 Jun 2018
Posts: 218
Re: In the figure above, ED has a length of 4. What is the length of side  [#permalink]

Show Tags

New post 04 Nov 2018, 01:48
In EBD , BE = BD and ED = 4

According to 1 , BE = 8
In ABE , BE = AE = 8
Same for BDC

According to 2 -> We are just working backwards for Statement 1

AC can found out through both individually so D
Attachments

q2.PNG
q2.PNG [ 30.35 KiB | Viewed 392 times ]

GMAT Club Bot
Re: In the figure above, ED has a length of 4. What is the length of side   [#permalink] 04 Nov 2018, 01:48
Display posts from previous: Sort by

In the figure above, ED has a length of 4. What is the length of side

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne